Even and Odd Functions
Read this topicExplanations 5
- An even function, f(x)f(x)f(x) satisfies the following relationship: f(x)=f(−x)f(x)=f(-x)f(x)=f(−x) This means that for any positive value of xxx, f(x)f(x)f(x) outputs the same …
By Kevin Yang, Eunji Kwon, Anusha Rahman
- An odd function, f(x)f(x)f(x) satisfies the following relationship: f(x)=−f(−x)f(x)=-f(-x)f(x)=−f(−x) This means that for any positive value of xxx, f(x)f(x)f(x) outputs the add…
By Benjamin, Eunji Kwon, Anusha Rahman
- (Video) Even and Odd Functions by ThinkwellVids Here's a video by ThinkwellVids explaining the difference between even and odd functions and how you find out if a function is on…
By Alex Federspiel, Anusha Rahman
- (Video) Odd and Even Functions by Eddie Woo Here's a video by Eddie Woo explaining even and odd functions. Even and odd are symmetries that are categories for describing functio…
By Alex Federspiel, Eunji Kwon, Anusha Rahman
- Even and Odd Functions The characteristics of even and odd functions has to do with the original function's symmetry with certain elements. For even functions, there is symmetry…
By Anusha Rahman
Problems 63
- Is the function f(x)=3x3+x2−4xf(x) = 3x^3 + x^2 -4xf(x)=3x3+x2−4x even?
- Is the function 7x4−9867x^4 - 9867x4−986 an even function?
- Is the function f(x)=cos(x)f(x) = \cos(x)f(x)=cos(x) a even function?
- Is y=−x12y=-x^{12}y=−x12 an odd function?
- An odd function f(x)f(x)f(x) has exactly 5 positive real roots. How many real roots in all does it have?
- What is the smallest possible number of roots that an odd real function f(x)f(x)f(x) can have?
- Let f(x)=ax7+bx3+cx−5f(x) = ax^7 + bx^3 + cx - 5f(x)=ax7+bx3+cx−5, where a,b,ca,b,ca,b,c are some real numbers. If f(−7)=7f(-7) = 7f(−7)=7, what is the value of f(7)f(7)f(7)? So…
- For which of the following values of nnn is f(x)=−xnf(x) = -x^nf(x)=−xn an odd function?
- For which of the following values of nnn is f(x)=−xnf(x) = -x^nf(x)=−xn an even function?
- Is y=x3−2x+2y=x^3-2x+2y=x3−2x+2 an even function?
- Is y=x5−xx7y=\dfrac{x^5-x}{x^7}y=x7x5−x an even function?
- Is y=xx4−1y=\dfrac{x}{x^4-1}y=x4−1x an even function?
- Is y=−x5+10x2+6y=-x^5+10x^2+6y=−x5+10x2+6 an odd function?
- Is y=∣x3∣y=|x^3|y=∣x3∣ an odd function?
- Is f(x)=7xf(x)=\frac7xf(x)=x7 an odd function?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- You have been hired by Gauss Airlines to devise the optimal flight paths for each of their regular flights. Your first project is to find the shortest path from New York to Sydney.
- Is this an even function?
- Is f(x)=0f(x)=0f(x)=0 an even function?
- Is this an even function?
- Is f(x)=x2+4x3−xf (x) = \frac{x^2 + 4}{x^3 - x}f(x)=x3−xx2+4 even?
- Is f(x)=x2+4x3−xf (x) = \frac{x^2 + 4}{x^3 - x}f(x)=x3−xx2+4 an odd function?
- Is f(x)=x(x2−1)f(x) = \frac{x}{(x^2−1)}f(x)=(x2−1)x an odd function?
- Is f(x)=0f(x) = 0f(x)=0 an even function?
- Is f(x)=0f(x) = 0f(x)=0 an odd function?
- Is f(x)=sin(x)f(x) = \sin(x)f(x)=sin(x) an odd function?
- Is y=1x2+1y=\dfrac{1}{x^{2}+1}y=x2+11 an even function?
- Decide algebraically if the function is even or not. f(x)=x5+7x2−3x+5f(x)= x^{5}+7x^{2}-3x+5f(x)=x5+7x2−3x+5
- Is this an even function? f(x)=xsin(x)x2+1f(x)= \dfrac{x\sin(x)}{x^{2}+1}f(x)=x2+1xsin(x)
- Is this an even function? f(x)=∣x∣+5sin(x)f(x)= |x|+\dfrac{5}{\sin(x)}f(x)=∣x∣+sin(x)5
- Is f(x)=x4+x2+4tan(x)f(x)=x^{4}+\dfrac{x^{2}+4}{\tan(x)}f(x)=x4+tan(x)x2+4 an even function?
- Is this an even function? f(x)=x5−10x+4f(x)=x^{5}-10x+4f(x)=x5−10x+4
- Is this an even function? f(x)=sin(x)+cos(x)f(x)=\sin(x)+\cos(x)f(x)=sin(x)+cos(x)
- Determine whether the following function is odd: f(x)=x3+7xf(x)= x^{3}+7xf(x)=x3+7x
- Is f(x)=x3−5x2f(x)= x^{3} -5x^{2}f(x)=x3−5x2 an odd function?
- Is y=1x3+4y=\dfrac{1}{x^{3}+4}y=x3+41 an odd function?
- Determine if this is an odd function: f(x)=x4+5x3+x+2f(x)= \dfrac{x^{4}+5}{x^{3}+x+2}f(x)=x3+x+2x4+5
- Is f(x)=5x3+x2f(x)=\dfrac{5}{x^{3}}+x^{2}f(x)=x35+x2 an odd function?
- Is f(x)=x3+5f(x)=x^{3}+5f(x)=x3+5 an odd function?
- Is f(x)=1x+5xf(x)= \dfrac{1}{x}+5xf(x)=x1+5x an odd function?
- Is f(x)=x41+xf(x)= x^{4}\sqrt{1+x}f(x)=x41+x an odd function?
- Is f(x)=sin(x)f(x)=\sin(x)f(x)=sin(x) an odd function?
- Is f(x)=cos(x)f(x)=\cos(x)f(x)=cos(x) an odd function?
- Is f(x)=−x3+9f(x)=-x^{3}+9f(x)=−x3+9 an even function?
- Is f(x)=tan(x)f(x)=\tan(x)f(x)=tan(x) an even function?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?
- Is the function above even, odd, both, or neither?